How does the position of a force affect a spinning wheel

In summary: The equation you have is force times distance, not force times leverage. You would need to find the lever arm of each force to see what impact that has. In summary, the homework statement is attempting to solve a problem where the RPMs of the larger disc are impacted more negatively by the presence of the smaller discs.
  • #1
Pinon1977
126
4

Homework Statement


1m diameter solid disc spinning at 10 rpms with a subsequent .5m diameter solid disc being driven by the 1m sokid disc.

Homework Equations


Not sure there is one for my particular situation.

The Attempt at a Solution


Just using the torque is equal to force times distance equation, it would stand to reason that the load position further away from the vertical Center Line of the wheel would have a greater negative impact on the RPMs of the larger wheel then one that would be positioned at the 12 and 6 position. Please see attached sketch
 

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  • #2
I think something must have been lost when you wrote this problem down. As drawn they all have the same effect. There is nothing in the problem that makes the y-axis special.
 
  • #3
Lets say each roller has a force of 10 Newtons being applied to it in order to maintain a spinning relationship with the larger disc. Ok, so that 10 Newton is applied at 0m from the cwntee of the disc at #1 roller, .25m at #2 roller, and .5M at #3 roller. So, that would create a negative "leveraging" effect wouldn't it? Just like in a gearset?

#3 would be 5 nm, #2 would be 2.5 50Nm, and #3 would be 0 nm. No?
 
  • #4
Your thoughts? Or am I reading more I to this situation that necessary?
 
  • #5
Pinon1977 said:
Lets say each roller has a force of 10 Newtons being applied to it in order to maintain a spinning relationship with the larger disc. Ok, so that 10 Newton is applied at 0m from the cwntee of the disc at #1 roller, .25m at #2 roller, and .5M at #3 roller. So, that would create a negative "leveraging" effect wouldn't it? Just like in a gearset?

#3 would be 5 nm, #2 would be 2.5 50Nm, and #3 would be 0 nm. No?

You drew the directions of the forces so that they all act through the axis of rotation. There is no difference in the three choices. There are no other forces in the problem to make any direction special. The coordinate system doesn’t matter. Forget the coordinate system. Why would it make any difference where around the wheel you place the roller?

I think there must be something more given in the problem or something wrong with your drawing.
 

1. How does the position of a force affect the direction of rotation of a spinning wheel?

The position of a force can affect the direction of rotation of a spinning wheel by changing the torque applied to the wheel. If the force is applied at a different location, the torque will be different, resulting in a change in direction of rotation. For example, if a force is applied at the top of the wheel, it may cause the wheel to rotate clockwise, while a force applied at the bottom may cause the wheel to rotate counterclockwise.

2. Can the position of a force change the speed of a spinning wheel?

Yes, the position of a force can impact the speed of a spinning wheel. This is because the amount of torque applied to the wheel will determine how quickly it rotates. If a force is applied at a greater distance from the center of the wheel, it will produce more torque and cause the wheel to spin faster. On the other hand, a force applied closer to the center will produce less torque and result in a slower rotation speed.

3. Does the position of a force affect the stability of a spinning wheel?

Yes, the position of a force can affect the stability of a spinning wheel. If a force is applied closer to the center of the wheel, it will produce less torque and make the wheel more stable. However, if the force is applied at a greater distance from the center, it can create a larger torque and make the wheel more unstable, potentially causing it to wobble or topple over.

4. How does the position of a force impact the energy of a spinning wheel?

The position of a force can affect the energy of a spinning wheel by changing the amount of work done on the wheel. If a force is applied at a greater distance from the center, it will do more work on the wheel and increase its energy. Conversely, a force applied closer to the center will do less work and result in a lower energy level for the wheel.

5. Is the position of a force the only factor that affects a spinning wheel?

No, the position of a force is not the only factor that affects a spinning wheel. Other factors such as the mass and shape of the wheel, the type of force applied, and external influences such as friction can also impact the behavior of a spinning wheel. Understanding and considering all of these factors is important in predicting and controlling the motion of a spinning wheel.

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